A Broadway producing team needs to select which of three shows to mount in a 10-week theater window and determine optimal ticket pricing. The analysis reveals Beauty and the Beast has the highest profit margin (25%), and marketing investment can shift customer willingness-to-pay from 40% to 50% at the $200 price point, enabling the team to meet their profitability targets.
Key Insights:
- Use profit margin analysis (Revenues - Costs)/Revenues to compare shows on a per-performance basis rather than total profitability
- Revenue maximization requires analyzing demand elasticity across price points; $150 and $200 yielded equal revenue initially, requiring differentiation through other factors
- Working backwards from target profit margins allows calculation of maximum allowable costs for discretionary spending like marketing